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3 years ago

I have 2 questions, they're similar, but i have no idea. can someone please help me.

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

Answer:

First Picture:

$\sqrt{x} -3=3-\sqrt{x}\\\\\x-3=0\\ +3 +3\\x=3$

Second Picture:

$2/3(9x-6)-4=9x-6$

$(6x-4-4=9x-6\\6x-8=9x-6\\ -9 -9\\\\-3x-8=-6\\ \\+8 +8\\-3x=2\\\\x=-2/3$

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Describe the transformation of the parent functionf(x)=x2 When g(x)=12f(x)+2

jolli1 [7]

Answer:

Step-by-step explanation:

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3 years ago

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Bogdan [553]

Sorry im a little late but here's how i did it.

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3 0

3 years ago

A curve passes through the point (0, 5) and has the property that the slope of the curve at every point P is twice the y-coordin

Anit [1.1K]

Answer:

$y=5e^{2x}$

Step-by-step explanation:

Let (x,y) represents a point P on the curve,

So, the slope of the curve at point P = $\frac{dy}{dx}$

According to the question,

$\frac{dy}{dx}=2y$

$\frac{1}{y}dy=2dx$

Integrating both sides,

$\int \frac{dy}{y}=2dx$

$ln y=2x+ln C$

$ln y-ln C = 2x$

$ln(\frac{y}{C})=2x$

$\frac{y}{C}=e^{2x}$

$\implies y=Ce^{2x}$

Since, the curve is passing through the point (0, 5),

$5=Ce^{0}\implies C=5$

Hence, the required equation of the curve is,

$y=5e^{2x}$

7 0

4 years ago

QR has endpoints at Q (11, 13) and R(7, 14). Find the midpoint M of QR

cricket20 [7]

Answer:

M=(9, 13.5)

Step-by-step explanation:

What you do is you need to use the midpoint formula.

(x_1+x_2/2), (y_1+y_2/2).

(11, 13) and (7, 14) are your points and you put those numbers into the equation.

11 and 7 are x and 13 and 14 are y.

(11+7/2), (13+14/2)

M=(9, 13.5) is your answer.

3 0

3 years ago

-4(9n + 9) = -12(4n - 6).

WITCHER [35]

Answer:

n = 9

Step-by-step explanation:

Step 1: Write equation

-4(9n + 9) = -12(4n - 6)

Step 2: Solve for n

Distribute: -36n - 36 = -48n + 72

Add 48n to both sides: 12n - 36 = 72

Add 36 to both sides: 12n = 108

Divide both sides by 12: n = 9

Step 3: Check

Plug in n to verify if it's a solution.

-4(9(9) + 9) = -12(4(9) - 6)

-4(81 + 9) = -12(36 - 6)

-4(90) = -12(30)

-360 = -360

7 0

4 years ago